Question
Find the prime factorization of number 206625.
Answer
The prime factorization of 206625 is:
$$ 206625 = 3\cdot5\cdot5\cdot5\cdot19\cdot29 $$Which is the same as :
$$ 206625 = 3\cdot5^{3}\cdot19\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 206625 can be written as 5 × 41325. |
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| 41325 can be written as 5 × 8265. |
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| 8265 can be written as 5 × 1653. |
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| 1653 can be written as 3 × 551. |
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| 551 can be written as 19 × 29. |
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| The end nodes are the prime factors of the number 206625. |
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